Common Priors and Separation of Convex Sets
Common Priors and Separation of Convex Sets
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共同先验和凸集分离
DOI：
10.1006/game.1997.0615
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发表时间：
1998
影响因子：
1.1
通讯作者：
D. Samet
中科院分区：
文献类型：
--
作者：
D. Samet
我们观察到，代理的所有先验集合是其类型的凸包。如果代理的先验集合有一个共同点，则存在所有代理的共同先验。我们给出了单纯形的几个闭凸子集的交集非空的充要条件，这是分离定理的推广。共同先验存在的充分必要条件是这种情况的一个特例。
We observe that the set of all priors of an agent is the convex hull of his types. A prior common to all agents exists, if the sets of the agents' priors have a point in common. We give a necessary and sufficient condition for the non-emptiness of the intersection of several closed convex subsets of the simplex, which is an extension of the separation theorem. A necessary and sufficient condition for the existence of common prior is a special case of this.